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Simplifying 7 + 5r + -4 = 9r + 15 + -7r Reorder the terms: 7 + -4 + 5r = 9r + 15 + -7r Combine like terms: 7 + -4 = 3 3 + 5r = 9r + 15 + -7r Reorder the terms: 3 + 5r = 15 + 9r + -7r Combine like terms: 9r + -7r = 2r 3 + 5r = 15 + 2r Solving 3 + 5r = 15 + 2r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-2r' to each side of the equation. 3 + 5r + -2r = 15 + 2r + -2r Combine like terms: 5r + -2r = 3r 3 + 3r = 15 + 2r + -2r Combine like terms: 2r + -2r = 0 3 + 3r = 15 + 0 3 + 3r = 15 Add '-3' to each side of the equation. 3 + -3 + 3r = 15 + -3 Combine like terms: 3 + -3 = 0 0 + 3r = 15 + -3 3r = 15 + -3 Combine like terms: 15 + -3 = 12 3r = 12 Divide each side by '3'. r = 4 Simplifying r = 4
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